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Volumn 89, Issue 5, 2014, Pages

Google matrix of the citation network of Physical Review

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX NETWORKS; FRACTAL DIMENSION; NUMERICAL METHODS;

EID: 84902007584     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.89.052814     Document Type: Article
Times cited : (10)

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    • Note that some of the nonvanishing components of the iteration vector (Equation presented) may become very small, e.g., (Equation presented). In this context we count such components still as occupied despite their small size, and (Equation presented) is the number of nodes which can be reached from some arbitrary other node after (Equation presented) iterations with the matrix (Equation presented).
    • Note that some of the nonvanishing components of the iteration vector (Equation presented) may become very small, e.g., (Equation presented). In this context we count such components still as occupied despite their small size, and (Equation presented) is the number of nodes which can be reached from some arbitrary other node after (Equation presented) iterations with the matrix (Equation presented).
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    • In Ref. [19] a set of vectors without this prefactor was used, but this provided a representation matrix which is numerically unstable for a direct diagonalization. The prefactor (Equation presented) ensures that the representation matrix is numerically (rather) stable, and of course both matrices are mathematically related by a similarity transformation and have identical eigenvalues.
    • In Ref. [19] a set of vectors without this prefactor was used, but this provided a representation matrix which is numerically unstable for a direct diagonalization. The prefactor (Equation presented) ensures that the representation matrix is numerically (rather) stable, and of course both matrices are mathematically related by a similarity transformation and have identical eigenvalues.


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